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Finding the Fourth Proportional to 564,301.16, 778,734.50 and 306,178.02

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Solution

The fourth proportional to 564,301.16, 778,734.50 and 306,178.02 is: 422,525.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,301.16 : 778,734.50 = 306,178.02 : x
  2. Step 2: Convert to fraction form
    564,301.16/778,734.50 = 306,178.02/x
  3. Step 3: Cross multiply
    564,301.16x = 778,734.50 × 306,178.02
  4. Step 4: Simplify right side
    564,301.16x = 238,431,385,784.80
  5. Step 5: Solve for x
    x = 238,431,385,784.80/564,301.16
  6. Step 6: Final answer
    x = 422,525.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.